Use our free GCF of Fractions Calculator tool to compute the GCF of 98/64, 630/55, 665/802 i.e 7/1411520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/64, 630/55, 665/802.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/64,630/55,665/802
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 98/64,630/55,665/802, numerators are 98,630,665
Denominators are 64,55,802
The GCF of 98,630,665 is 7 .
LCM of 64,55,802 is 1411520.
The greatest common factor of 98/64,630/55,665/802 = [GCF of 98,630,665]/[LCM of 64,55,802]= 7/1411520
Therefore, the GCF of 98/64,630/55,665/802 is 7/1411520.
To find the highest common factor of 98,630,665, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
The factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665
The HCF of 98,630,665 is 7.
Lets's calculate GCF of 98,630,665
7 | 98, 630, 665 |
14, 90, 95 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 630
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Now, list down the factors of 665
:1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 98,630,665 . The biggest common factor number is the GCF number.
So the greatest common factor 98,630,665 is 7.
Lets's calculate LCM of 64,55,802
2 | 64, 55, 802 |
32, 55, 401 |
∴ So the LCM of the given numbers is 2 x 32 x 55 x 401 = 1411520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1411520
Therefore, the GCF of Fractions 98/64,630/55,665/802 is 7/1411520
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 64,55,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,55,802) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(64,55,802) x common factors =1 x 2 = 2
LCM(64,55,802) = ( 64 × 55 × 802 ) / 2
LCM(64,55,802) = 2823040 / 2
LCM(64,55,802) = 1411520
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 98,630,665?
The HCF of 98,630,665 is 7
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 98/64, 630/55, 665/802?
Answer: GCF of Numerators as per given numbers 98/64, 630/55, 665/802 is
GCF of Numerators i.e. for 98,630,665 is 7
LCM of denominators i.e. for 64,55,802 is 1411520.
Thus, GCF of Fractions is 7/1411520.Finally, GCF of Fractions for 98/64, 630/55, 665/802 is 7/1411520.